A polar decomposition $A = Q S$, with $Q$ orthogonal and $S$ symmetric positive semidefinite

Example · Graduate

Definition: polar decomposition

Terms

Term	This example	Why
QR decomposition	✗	A polar decomposition $A = Q S$ is not a QR decomposition, because its factor $S$ is symmetric, not upper triangular.

Distinctions using this example

• Types of matrix decompositions

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